A linear motor that performs well during a short test can behave very differently after an hour of production. Engineers often describe this as the motor "losing force when it gets hot." That description points to a real symptom but it is not quite the physics.
A current controlled permanent magnet linear motor does not automatically lose a large amount of instantaneous force simply because the copper winding is warm. What usually shrinks is the safe continuous force margin. Winding resistance rises, copper loss increases for a given current, the thermal headroom becomes smaller and the drive or controller may eventually limit current to protect the motor.
Hot Copper Does Not Automatically Mean Less Force
For a linear motor operating within its magnetic and electrical limits, force is primarily related to current through the motor force constant. If the drive can still regulate the commanded current, the motor can often produce approximately the same short duration force even when the winding is hotter.
The problem is that the motor cannot sustain that current indefinitely. Higher winding temperature means higher copper resistance. At the same RMS current, resistive loss rises. Magnet temperature can also slightly affect flux and therefore force constant depending on magnet material, but in most machine sizing problems the dominant practical limit is thermal rather than a sudden collapse in electromagnetic force.
Peak Force Does Not Predict Temperature
Peak force answers a dynamic question. Can the motor generate enough force for the hardest acceleration or process event? Continuous force answers a thermal question. Can the system repeat the motion without exceeding its allowed temperature?
A linear motor can deliver a high peak force for a short period because the winding has thermal mass. Temperature does not rise instantly. Problems appear when acceleration, deceleration, process force and holding current repeat often enough that average heat generation exceeds the system's ability to remove heat.
This is why the complete duty cycle matters. The HansMotor linear motor sizing guide uses the same two sided check that experienced motion engineers use: RMS force must remain within the continuous capability and peak force must remain within the peak capability.
Copper Resistance Rises with Temperature
Copper resistance increases as the winding gets hotter. If the motor must keep producing the same force, the drive still needs to supply roughly the same current. Because copper loss follows I squared R, a higher winding resistance means more loss at the same current.
This creates a thermal feedback loop. Current produces heat, heat raises winding resistance, and higher resistance produces more heat for the same current. The result is not necessarily an immediate loss of thrust. It is a faster approach to the thermal limit.
Tecnotion's iron core linear motor manual makes this relationship explicit through motor constant and thermal definitions. It notes that motor constant decreases at higher coil temperatures because winding resistance increases.
Continuous Force Depends on the Thermal Path
A catalog continuous force value is not independent of the installation. It is measured or calculated under defined thermal assumptions such as mounting surface temperature, ambient conditions and cooling configuration. If the real machine removes heat less effectively, the usable continuous force changes.
This is why two machines using the same motor can behave differently. One may bolt the coil to a large aluminum structure with a short thermal path. Another may place the motor on a thin carriage with limited conduction and a warm surrounding enclosure. The electromagnetic motor is the same, but the thermal system is not.
For high force applications, the HansMotor high force linear motor guide separates peak force from continuous force and treats natural cooling, forced air and water cooling as different operating conditions rather than interchangeable catalog numbers.
Holding Position Can Be a Worst Case
High speed motion looks thermally demanding, but some of the most difficult conditions occur when the axis is barely moving. A vertical stage may require substantial current simply to hold a load against gravity. A process axis may maintain force against a tool or workpiece while velocity is zero.
The motor continues generating copper loss even though there is little or no mechanical travel. In repetitive production, a long hold period can dominate RMS current even when the acceleration move is the part that looks dramatic on a motion profile.
For vertical axes, counterbalances or other gravity compensation methods can therefore reduce motor heating as well as improve fail safe behavior. The relevant calculation is the full force profile over the cycle, including every hold and dwell.
Cooling Does Not Fix Every Cause
Water cooling can increase continuous force because it lowers the thermal resistance between the winding and the cooling medium. That can be the correct solution when the machine genuinely needs more sustained thrust inside a fixed envelope.
But stronger cooling should not be the first response to every hot motor. If the guideway is misaligned, friction rises. If the payload increased after the original design, RMS demand rises. If acceleration was increased to improve throughput, high current occupies a larger fraction of every cycle. Cable drag, preload, process force and servo oscillation can all add current that was not present in the original sizing model.
A thermal problem can therefore originate in the mechanics or control loop rather than the motor itself.
Heat Can Become a Precision Problem
In precision equipment, waiting for an overtemperature alarm is too late. Motor heat flows into the stage, encoder mounting structure, bearings and machine base. Those components expand, and the expansion can change straightness, preload, scale alignment or process position.
This matters in semiconductor inspection, metrology, laser processing and other systems where small thermal drift has process consequences. A motor can remain below its winding temperature limit and still put too much heat into the metrology loop.
The design target is therefore not only motor survival. It can also be a maximum allowable heat load into the machine structure.
A Larger Motor Can Sometimes Run Cooler
Selecting a larger motor is not always wasteful oversizing. A motor with a higher motor constant can produce a required force with lower electrical loss. In a high duty cycle axis, that can reduce winding heat and create more thermal margin.
The tradeoff is moving mass and package size. A larger coil assembly can reduce acceleration or lower a structural resonance if it rides on the moving carriage. The thermally larger motor is not automatically the dynamically better motor.
Diagnose the Duty Cycle Before Changing the Motor
When a linear motor performs well cold and poorly after running, start with measured current over a representative production cycle. Separate acceleration, constant velocity, deceleration, process load and hold periods. Calculate RMS demand over the complete cycle rather than a single move.
Then compare winding temperature, ambient temperature and the actual cooling path with the assumptions behind the motor rating. After that, check mechanical resistance, payload changes, cable forces and servo activity.
Only when those factors are understood should you decide whether the correct fix is a larger motor, a different winding, improved heat sinking, liquid cooling, a different motion profile or a mechanical change. Peak force tells you whether the motor can survive the hardest instant. Thermal design tells you whether it can keep doing it.


